Why do we live in a Riemannian space time ?

dc.creatorScipioni, Roberto
dc.date1999-10-29
dc.date.accessioned2026-07-07T03:33:40Z
dc.date.available2026-07-07T03:33:40Z
dc.descriptionWe start from the pure Einstein-Hilbert action in Metric Affine Gravity, with the orthonormal metric. We get an effective Levi-Civita Dilaton gravity theory in which the Dilaton field is related to the scaling of the gravitational coupling. When the Weyl symmetry is broken the resulting Einstein-Hilbert term is equivalent to the Levi-Civita one, using the projective invariance of the model, the non-metricity and torsion may be removed, so that we get a theory perfectly equivalent to general relativity. This may explain why low energy gravity is described by a Riemannian connection.
dc.description9 pages, Latex
dc.identifierhttps://arxiv.org/abs/gr-qc/9910110
dc.identifierhttp://arxiv.org/abs/gr-qc/9910110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/36662
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleWhy do we live in a Riemannian space time ?
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